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Nonparametric estimation of the variance of sample means based on nonstationary spatial data

Ekström, Magnus (2001). Nonparametric estimation of the variance of sample means based on nonstationary spatial data. Umeå: (S) > Dept. of Forest Resource Management
(NL, NJ) > Dept. of Forest Resource Management
, Sveriges lantbruksuniversitet. Arbetsrapport / Sveriges lantbruksuniversitet, Institutionen för skoglig resurshushållning och geomatik ; 88
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Abstract

In Politis and Romano (1993), different block resampling estimators of variance of general linear statistics, e.g. a sample mean, were proposed under the assumption of stationarity. In the present paper such estimators of variance of sample means, computed from nonstationary spatially indexed data {Xi : i E A}, where A is a finite subset of the integer lattice Z2, are studied.
Consistency of estimators of variance will be shown for the following kind of data: Observations taken from different lattice points are allowed to come from different distributions, and the dependence structure is allowed to differ over the lattice. We assume that all observed values are from distributions with the same expected value, or with expected values that decompose additively into
directional components. Furthermore, it will be assumed that observations separated by a certain distance are independent.

Authors/Creators:Ekström, Magnus
Title:Nonparametric estimation of the variance of sample means based on nonstationary spatial data
Alternative abstract:
LanguageAbstract
EnglishUNSPECIFIED
Series/Journal:Arbetsrapport / Sveriges lantbruksuniversitet, Institutionen för skoglig resurshushållning och geomatik (1401-1204)
Year of publishing :2001
Number:88
Number of Pages:28
Place of Publication:Umeå
Publisher:Institutionen för skoglig resurshushållning, Sveriges lantbruksuniversitet
ISSN:1401-1204
Language:English
Publication Type:Report
Full Text Status:Public
Agris subject categories.:U Auxiliary disciplines > U10 Mathematical and statistical methods
Subjects:(A) Swedish standard research categories 2011 > 1 Natural sciences > 101 Mathematics > 10101 Mathematical Analysis
Agrovoc terms:data analysis, linear models, statistical methods, sampling
Keywords:data analysis, linear models, statistical methods, sampling
URN:NBN:urn:nbn:se:slu:epsilon-e-519
Permanent URL:
http://urn.kb.se/resolve?urn=urn:nbn:se:slu:epsilon-e-519
ID Code:8846
Department:(S) > Dept. of Forest Resource Management
(NL, NJ) > Dept. of Forest Resource Management
Deposited By: Bo Jonsson
Deposited On:24 May 2012 09:03
Metadata Last Modified:02 Dec 2014 10:50

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